(d) Suppose \(\alpha (G) = m - 1\)  where \(m \le \frac{n + 2}{2}\)  and \(\lbrace x_1, x_2, ... ,x_{m -1} \rbrace  \subseteq Y\)  is an \((m - 1)\) -element independent set. Then, no member of this set is adjacent to \(m -2\)  or more vertices on the cycle (We have taken the liberty of making a slight correction to the inequality \(m \le \frac{n + 2}{2}\)  of the original [1]}, Lemma 5(d)).

